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A. f(x)=(x+5)(x-1)
If x = 4-√5, find the value of (x2+1/x2 )
Answer:
2562 - 960√5/11
Step-by-step explanation:
We are given here the value of x as 4 - √5. We need to find the value of x² + 1/x² . So let's find out 1/x
⇒ x = 4 - √5
⇒ 1/x = 1/4-√5
⇒ 1/x = (4 + √5) / ( 4 - √5) ( 4 + √5 )
⇒ 1/x = 4 + √5 / 4² - (√5)²
[ using (a+b)(a-b) = a² - b²]⇒ 1/x = 4+√5 / 16 - 5
⇒ 1/x = 4+√5/11
Add x² and 1/x² now ,⇒ x² + 1/x² = (4-√5)² + (4+√5)²/11²
⇒ x² + 1/x² = 121( 16 + 5 -8√5 ) + 16 + 5 + 8√5 / 121
⇒ x² + 1/x² = 1936 + 605 - 968√5 + 21 + 8√5 / 121
⇒ x² + 1/x² = 2562 - 960√5/11
5/7 divided by 2/9 - someone answer pls
Answer:
3.21
Step-by-step explanation:
5/7/2/9
5/7*9/2
45/14
3.21
Answer:
5/7 x 9/2 = 45/14 = 3 3/14
Make 2/9 a reciprocal (basically just turning the fraction upside down) then turn the division sign into a multiplication sign and multiply across then simplify to get your final answer! To get a decimal you need to divide normally.
HELP PLEASE QUICKLY ASAP!
You will be rewarded with 20 points!
Please help!
PLZ HELP ME!!!!! NO LINKS!!!!!!!!!!
Answer:
unfortunately, I couldn't give you the answer because I can't see all of the number values provided in this problem, but hopefully with the explanation you'll be able to solve it : )
Step-by-step explanation:
1. To find the mean absolute deviation of the data, start by finding the mean of the data set.
2. Find the sum of the data values, and divide the sum by the number of data values.
3. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
4. Find the sum of the absolute values of the differences.
5. Divide the sum of the absolute values of the differences by the number of data values.
Two triangles are similar. The lengths of the sides of the smaller triangle are 3,5 and 6, and the length of the longest side of the larger triangle is 15.
What is the perimeter of the larger triangle?
Answer:
35 units
Step-by-step explanation:
15/6=2.5
The larger triangle is magnified by a factor of 2.5
Hence its dimensions are 3×2.5=7.5, 5×2.5=12.5 and 6×2.5=15
Perimeter is 7.5+12.5+15=35 units.
The formula to find the circumference of a circle is C=pi r. Use 3.14 for
Answer: 12.56*3.14=39.4584037291
Step-by-step explanation:
Which diagram is not show as a function
9514 1404 393
Answer:
d
Step-by-step explanation:
A relation is NOT a function if the same input value maps to multiple output values.
Any relation that has an input with multiple arrows from it is not a functional relation. The diagram below is NOT a function.
What angle are these two is
Please answer ASAP!
Answer choices are
Acute
Right
Obtuse
Straight
Answer:
They're both acute
Step-by-step explanation:
They both meausre less than 90°
A right angle would look like an L (it could be a flip L as well)
And an obtuse angle is anything bigger than a right angle
Korra is carrying a bag of books that weighs 40 pounds. After picking up some books at school, the weight has increased by
36%. How many pounds does the bag weigh now?
Answer:
W' = 54.4 pounds
Step-by-step explanation:
Given that,
The weight of a bag of books = 40 pounds
After picking up some books at school, the weight has increased by 36%.
We need to find the weight of the bag now. Let the new weight is W'.
So,
W' = 40 +36% of 40
i.e.
[tex]W'=40+\dfrac{36}{100}\times 40\\W'=54.4\ pounds[/tex]
So, the new weight of the bag is equal to 54.4 pounds.
Tina bought a bracelet for $5.24 and a necklace for $9.89. What is her total cost?
Answer:
15.13
Step-by-step explanation:
Question for Tejkmurray !!!
Pls help me out!!!!!!!!
Answer:
[tex]60+3x+5x=180\\8x=120\\x=15[/tex]
[tex]\angle ABC=5x=5\times15=75\textdegree\\\angle ACB=3x=3\times15=45\textdegree[/tex]
what is 1675 divided by 25 with remainder?
Answer:
72 remainder 8 i think
Step-by-step explanation:
The result of dividing 1675 by 25 is 67 with a remainder of 0.
Given that we need to divide 1675 by 25,
To divide 1675 by 25 with a remainder, we can use long division.
Here's how it works:
Step 1: Write the division problem in long division format:
-----------
25 | 1675
Step 2: Start with the first digit of the dividend (1675) and divide it by the divisor (25).
Write the quotient above the line and the remainder to the right of the line:
-----------
25 | 1675
67
Step 3: Multiply the quotient (67) by the divisor (25) and write the product below the dividend:
-----------
25 | 1675
- 1650
67
Step 4: Subtract the product from the dividend and bring down the next digit (in this case, the digit 5):
-----------
25 | 1675
- 1650
----
25
67
Step 5: Repeat the process by dividing the new dividend (25) by the divisor (25). The quotient will be 1, and there will be no remainder:
-----------
25 | 1675
- 1650
----
25
25
-----
0
Step 6: Since the remainder is 0, we have divided 1675 by 25 evenly.
Therefore, the result of dividing 1675 by 25 is 67 with a remainder of 0.
Learn more about long division click;
https://brainly.com/question/28824872
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On Monday, 355 people ate at The Burger Barn. On Tuesday, 339 people ate there. On Wednesday, 394 people ate there. About how many people ate at The Burger Barn altogether on the three days?
Question 5 (1 point)
Ja'Quincy has $310 in his savings account and Richard has $500.
Ja'Quincy deposits $20 into his account each week for x weeks.
• Richard withdraws $10 from his account every week for x weeks.
Which equation will represent when both will have the same amount of money in their accounts?
310x + 20 = 500x + 10
Ob
310 + 20x = 500 + 10x
с
310 + 20x = 500 - 10x
310 - 10x = 500 + 20x
For cylinders with radius 4 units, the equation V = 50.24 h relates the height h of the cylinder, in units,
and the volume V of the cylinder, in cubic units when 3.14 is used as an approximation for 7. (4 pts)
a. Fill in the table with a minimum of 4 entries and sketch the graph of this equation on the axes.
Height Volume
500
400
Volume of Cylinder
300
200
100
10
Height of Cylinder
Answer:
H V
1 50.24
2 100.48
3 150.72
4 200.96
5 251.2
6 301.44
Plot that on the graph with H on the x axis of it created a straightish line its linear if not it’s non linear
evaluate the variable expression 2n + 4 if n equals 3
Answer:
10
Step-by-step explanation:
Please help due soon!!
Answer:
200.96 ft^2
Step-by-step explanation:
The area of a circle is pi * r^2
This means that the area of that circle is pi * 8^2
8^2 * pi = 64 * 3.14 = 200.96
PLEASE HELP
A rectangular prism is shown below.
Which figure represents the net of the rectangular prism?
Which statement is true?
5
A 0.497<
9
B 0.497
5
>
9
5
C 0.497
9
Answer:
"A" I do believe, the formatting makes it difficult to look at.
Step-by-step explanation:
0.497 is "<" which is Less Than 9.
Answer:
the answer is A
Step-by-step explanation:
i did the test
PLEASE I don't understand how to do this, 50 Points for anyone who solves it!
Check attachment below
Answer:
170°Step-by-step explanation:
∠WYX is the inscribed angle and equal to half of the intercepted arc WX
mWX = 2m∠WYX = 2(42x + 1) = 84x + 2Sum of arc measures add to 360°:
29x - 1 + 65x + 3 + 84x + 2 = 360178x + 4 = 360178x = 356x = 2Plug in the value of x and find measure of the arc WX:
mWX = 84*2 + 2 = 170°
The width of a box is two-third of its length and height is
one-third of its length. If the volume of the box is 1296 m3,
ind the area of base of the box.
Answer:
216m² is your answer
Step-by-step explanation:
given
width [b]=2/3 ×l
length [l]=l
height [h]=1/3 l
we have
volume of cuboid =l×b×h
1296m³=l×2/3×l×1/3×l
1296m³=2/9×l³
l³=1296×9/2=5832
l³=18³
length [l]=18m
breadth [b]=2/3×18=12m
area of base of box =l×b=18×12=216m²
What is the area of sector with a central angle of 160 and a diameter of 5.8 m? Round the answer to the nearest tenth.
A) 8.1 m^2
B) 4.0 m^2
C) 46.0 m^2
D) 11.7 m^2
Answer:
[tex]A=11.7\ m^2[/tex]
Step-by-step explanation:
Given that,
Central angle, [tex]\theta=160^{\circ}[/tex]
Diameter,d = 5.8 m
Radius, r = 2.9 m
We need to find the area of sector. The formula for the area of sector is given by :
[tex]A=\dfrac{\theta}{360}\times \pi r^2\\\\=\dfrac{160}{360}\times 3.14\times 2.9^2\\\\=11.7\ m^2[/tex]
So, the area of a sector is equal to [tex]11.7\ m^2[/tex].
Four students each wrote down a number between 30 and 40. The list shows the numbers they wrote.
Elly-35
Ulysses-39
Maggie-37
Palmer-33
Which student wrote down a prime number?
Answer:
Maggie.
Step-by-step explanation:
37 is the prime number.
Answer:
Maggie wrote down a prime number
Lenard spent $56 on cookies. If each box cost $7, how many boxes did he buy?
Answer:8
Step-by-step explanation:
56 divided by 7 is 8
Brainliest plz
5) A section of rope is divided into 4 pieces. The 1st piece is 3 times as long as the 2nd piece. The 3rd piece is as long as the 2nd piece less 25 feet. The 4th piece is 2 times as long as the 2nd piece plus 30 feet. Write an expression representing each rope piece. How long is each piece of rope if the total length is 425 feet.
Answer:
1= 180 ft
2 = 60 ft
3= 35 ft
4= 150 ft
Step-by-step explanation:
1 = 3x
2=x
3=x-25
4= 2x+30
425= 7x -5
420=7x
x=60
Jon makes a map of his neighborhood for a presentation. The scale of his map is 1inch:250 feet, How many feet do 6.5 inches represent on the map?
A. 1650 feet
B. 1625 feet
C. 1605 feet
D. 1590 feet
What would w be equal to?
Answer:
w = [tex]\frac{P-2h}{2}[/tex]
Step-by-step explanation:
Given
P = 2w + 2h ( subtract 2h from both sides )
P - 2h = 2w ( divide both sides by 2 )
[tex]\frac{P-2h}{2}[/tex] = w
Find the 75th term of the following arithmetic sequence.
6, 11, 16, 21,
Answer:
The 75th term in the sequence is 16
Step-by-step explanation:
The 75th term of a sequence can be considered as the term that is in the position at 75% along the sequence. This is assuming that the sequence has been sorted already from lowest value to highest value
In this sequence, which has 4 terms, we can find the 75th term by finding what term is at 75% (or three-quarters) along the sequence.
To find the 75th term:
Multiply the number of terms by 0.75 (or 75%/100%) :
0.75*4 terms= 3
Then, we find the value of the term that is at position 3 from the left (lowest number)
In this case, the term that is at the 3rd position from the left is 16
Thus, the 75th term in the sequence is 16
Can y’all solve it using geogebra something like that
The first 10 pounds is $2 per pound so $2 x 10 = $20
She wants to pick 40 pounds so after the first 10 pounds she needs 40-10 = 30 more pounds.
The cost for those are $1 per pound so 30 x $1 = $30
Total cost = $20 + $30 = $50 for 40 pounds.